UC Davis Mathematics

Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

A non-local one-phase free boundary problem from obstacle to cavitation

PDE and Applied Math Seminar

Speaker: Yijing Wu, UT Austin
Related Webpage: https://web.ma.utexas.edu/users/yijingwu/
Location: 2112 MSB
Start time: Fri, Jan 18 2019, 4:10PM

Properties of a non-local free boundary problem which is an intermediate case of thin obstacle problem and fractional cavitation problem will be discussed. I will prove the blow-up profiles is homogeneous by a Weiss type monotonicity formula, and the flatness condition of the free boundary implies C^{1,\theta} regularity.